Answer:
7√2 units
Step-by-step explanation:
The distance between two points having coordinates (x1, y1) and (x2, y2) is given by,
[tex] \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]
Here, x1=-4 and y1=2
x2=3 and y2=-5
[tex] \sqrt{ {(3 - ( - 4))}^{2} + {( - 5 - 2)}^{2} } [/tex]
[tex] \sqrt{ {(3 + 4)}^{2} + {( - 7)}^{2} } [/tex]
[tex] \sqrt{ {(7)}^{2} + {( - 7)}^{2} } [/tex]
[tex] \sqrt{49 + 49} = 7 \sqrt{2} [/tex]
